1855 – Wairarapa 23 Jan  8.1/8.2 mag felt in Dun as 2/3 mag
1876 – Oamaru No 1 25th Feb 5.75 mag felt in Dun as 5 mag
1876 – Oamaru  No 2 25 Feb 5.75 mag felt in Dun as 5 mag
1876 – Oamaru  No 3 - 11April  5.75 mag felt in Dun as 5 mag
1888 – North Canterbury 31 August 7/ 7.3 felt in Dunedin 4 mag
1893 – Nelson 11 February 6.9 mag felt in Dunedin a s3 mag
1921 – Hawke’s Bay 28 June 7.0/6,4  mag felt in Dunedin 3 mag
1929 – Arthurs Pass 09 March 7.1 mg felt in Dunedin as 3 mag
1929 – Buller 16 June 7.8 mag felt in Dunedin as 4 mag
1931 – Southland Sept 15 1931 – felt Dunedin 4-5 mag
1934 – Pahiatua 05 March 7.6 mag felt in Dundin as 2 mag
1938  - Charles Sound Dec 16th  1938 – mag 7 felt  Dunedin  4-5 mag.
1942 – Wairapara 1 June 24 7.2mag felt in Dunedin as 3 mag
1942 – Wairarapa 11 August 01 7.0 mag felt in Dun 4-4 mag
1946 – Lake Coleridge June 26 5.4 mag felt in Dunedin as 4 mag
1951 – July 07  Fiordland mag 5.6 felt Dunedin mag 3
1954 – May 4th 1954 Fiordland mag 5.4 felt in Dunedin  2-3 mag
1960 – May 24th 1960 Fiordland Mag 6.5 felt in Dunedin at 4 mag
1961 – July 04 1961 Fiordland 5.1 mag  felt in Dunedin as 3 mag
1964 – Big Bay Fiordland 08 March 1964 mag 5.8 felt in Dun as 3 mag
1965 – Lake Te Anau May 20th 1965 5.6 mag felt in Dunedin as 4 mag
1966 – Seddon April 23 Seddon  5.6 mag felt in Dunedin as 2 mag
1968 – Inangahua May 23 1968 7.4 mag felt in Dunedin as 4 mag
1968 – Solander September 25 1968 mag 6.2 felt in Dunedin as 4 mag
1969 – Fiordland January 02 1969  5.8 mag felt in Dunedin as 4 mag
1974 – Dunedin April 09 1974  4.9 mag centered close to the city
1974 – Milford Sound 20 September 1974 mag 5.5 felt in Dun as 3 mag.
1976 – Milford Sound  May 04 1976 6.4 mag felt in Dun as 4 – 5 mag.
1979 – Puysegur Bank Oct 12 1979  mag 7.2 felt in Dunedin as 4 mag
1984 – Macauley River June 24th 1984 mag 6.1 felt in Dunedin as 4 mag
1988 – Te Anau 03 June 1988 6.1 to 6.7  mag felt in Dun as 5 or 6 mag
1989 – Doubtful Sound May 31 1989  6.1 – 6.2 mag felt in Dun as 4 mag

Looking at this Rupert is would appear that only receiving one quake so far that it would have to come from outside Dunedin to do any damage - from the sounds or the trench or main fault line etc.
Down Otago way there are  number of fault lines that are not on here and have not erupted for hundreds/thousands of years so you just never know in this county,  We did not know that we had built so close to a fault line until Sept 4th 2010 and that one had not erupted for 16,000 years.
 
The reports above have been copied from  the book
Atlas of Isoseismal Maps of New Zealand Earthquakes
Institute of Geological & Nuclear Sciences Limited
G.L. Downes